List questions from order-statistics

Published on 26 Jan 2022 - 5:36

56

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Do continuous functions with small uniform norm preserve order?

Published on 28 Jan 2022 - 9:58

60

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Evaluating the probability of a Distribution

Published on 31 Jan 2022 - 6:16

213

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Mathematical expression for $i^{th}$ largest element of a set

Published on 28 Mar 2026 - 6:48

180

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Why does the CDF of a k-th order statistic have an ${n \choose i }$ term?

Published on 12 Feb 2022 - 17:04

131

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Order Statistics and pdfs questions

Published on 13 Feb 2022 - 16:08

65

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Asymptotic lower bound for the maximum of $n$ iid binomial random variables

Published on 21 Feb 2022 - 7:35

55

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Proof that Mann-Whitney is just translated sum of ranks

Published on 24 Feb 2022 - 5:43

55

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Obtaining Distribution of $(X_{(1)},X_{(n)})$ using density function

Published on 26 Feb 2022 - 10:07

34

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where did the sum come from in formula of order statistic $ P(X_{(r)}\leq x) = \sum_{j=r}^n C^n_j F(x)^j (1-F(x))^{n-j} $

Published on 05 Mar 2022 - 1:05

42

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Order Statistics: Expected order statistic of a distribution given an order statistic of a linearly dependent distribution.

Published on 08 Mar 2022 - 12:51

78

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Expected value of the Max of IID random variables that follow the Discrete Uniform Distribution

Published on 08 Mar 2022 - 15:12

123

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Distribution of $Z=\min \left\{U_{1}, \ldots, U_{X}\right\}$

Published on 28 Mar 2026 - 6:40

35

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What happens to the rank when finding if a test-statistic is even?

Published on 22 Mar 2022 - 2:12

235

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Does FOSD + log concavity of $f(x)$ and $g(x)$ imply MLRP?

Published on 22 Mar 2022 - 14:27

List Question

Conditional expectation involving Order Statistics

Do continuous functions with small uniform norm preserve order?

Evaluating the probability of a Distribution

Mathematical expression for $i^{th}$ largest element of a set

Why does the CDF of a k-th order statistic have an ${n \choose i }$ term?

Order Statistics and pdfs questions

Asymptotic lower bound for the maximum of $n$ iid binomial random variables

Proof that Mann-Whitney is just translated sum of ranks

Obtaining Distribution of $(X_{(1)},X_{(n)})$ using density function

where did the sum come from in formula of order statistic $ P(X_{(r)}\leq x) = \sum_{j=r}^n C^n_j F(x)^j (1-F(x))^{n-j} $

Order Statistics: Expected order statistic of a distribution given an order statistic of a linearly dependent distribution.

Expected value of the Max of IID random variables that follow the Discrete Uniform Distribution

Distribution of $Z=\min \left\{U_{1}, \ldots, U_{X}\right\}$

What happens to the rank when finding if a test-statistic is even?

Does FOSD + log concavity of $f(x)$ and $g(x)$ imply MLRP?

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